RKJ R.

asked • 08/31/18

answer of the equations q1X+p1y+r1=0 and q2X+p2y+r2=0 represent a pair of intersecting straight line with only one point of intersection

I wanna learn this math but I don't know anything about this math
 
Pls hlp me

Mark M.

Not sure what you want to learn. If the equations are to a pair of intersecting lines, then the two equation have only one solution in common. Other than that nothing more can be said.
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08/31/18

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Gangothri G. answered • 08/31/20

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You can solve it by multiplying the first equation with q2 and second one with q1.

They become q1q2x+p1q2y+r1q2=0 and q1q2x+q1p2y+r2q1=0.

Now subtract both the equations where x part of the both equations will get cancelled.

It becomes( p1q2-q1p2)y=-(r1q2-r2q1)

Shifting p1q2-q1p2 to RHS ,you get

y=-(r1q2-r2q1)/(p1q2-p2q1)

Similarly you can solve for x by multipying the equations with p2 and p1 respectively.

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